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Simplifying 4x + yi + -5i = 2x + -1y + xi + 7i Reorder the terms: -5i + iy + 4x = 2x + -1y + xi + 7i Reorder the terms: -5i + iy + 4x = 7i + ix + 2x + -1y Solving -5i + iy + 4x = 7i + ix + 2x + -1y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7i' to each side of the equation. -5i + iy + -7i + 4x = 7i + ix + 2x + -7i + -1y Reorder the terms: -5i + -7i + iy + 4x = 7i + ix + 2x + -7i + -1y Combine like terms: -5i + -7i = -12i -12i + iy + 4x = 7i + ix + 2x + -7i + -1y Reorder the terms: -12i + iy + 4x = 7i + -7i + ix + 2x + -1y Combine like terms: 7i + -7i = 0 -12i + iy + 4x = 0 + ix + 2x + -1y -12i + iy + 4x = ix + 2x + -1y Add '-1ix' to each side of the equation. -12i + iy + -1ix + 4x = ix + 2x + -1ix + -1y Reorder the terms: -12i + -1ix + iy + 4x = ix + 2x + -1ix + -1y Reorder the terms: -12i + -1ix + iy + 4x = ix + -1ix + 2x + -1y Combine like terms: ix + -1ix = 0 -12i + -1ix + iy + 4x = 0 + 2x + -1y -12i + -1ix + iy + 4x = 2x + -1y Add '-4x' to each side of the equation. -12i + -1ix + iy + 4x + -4x = 2x + -4x + -1y Combine like terms: 4x + -4x = 0 -12i + -1ix + iy + 0 = 2x + -4x + -1y -12i + -1ix + iy = 2x + -4x + -1y Combine like terms: 2x + -4x = -2x -12i + -1ix + iy = -2x + -1y Reorder the terms: -12i + -1ix + iy + 2x + y = -2x + 2x + -1y + y Combine like terms: -2x + 2x = 0 -12i + -1ix + iy + 2x + y = 0 + -1y + y -12i + -1ix + iy + 2x + y = -1y + y Combine like terms: -1y + y = 0 -12i + -1ix + iy + 2x + y = 0 The solution to this equation could not be determined.
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